Claudia Castro-Castro
Math 283 Spring 2020
Use the left and right arrow keys to navigate the presentation forward and backward respectively. You can also use the arrows at the bottom right of the screen to navigate with a mouse.
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
\[ \iiint_\limits{B} f(x,y,z)dV = \lim_{\Delta x_i \rightarrow 0}\lim_{\Delta y_j \rightarrow 0}\lim_{\Delta z_k \rightarrow 0} \sum_{i=1}^l\sum_{j=1}^m \sum_{k=1}^n f\left( x^*_{ijk}, y^*_{ijk}, z^*_{ijk}\right)\Delta V_{ijk} \]
if the limit exists
If \( f \) is continuous on the rectangular box \[ B=[a,b]\times[c,d]\times[r,s] \] then \[ \iiint \limits_B f(x,y,z)dV= \int_r^s \int_c^d \int_a^b f(x,y,z) dx dy dz \]
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition
Courtesy of James Stewart, Calculus: Early transcendentals, 2nd edition